Advances in Applied Clifford Algebras

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(Para-) Kähler Structures on $$\rho $$ ρ -Commutative Algebras
Advances in Applied Clifford Algebras - - 2018
Zahra Bagheri, E. Peyghan
Décomposition canonique des rotations
Advances in Applied Clifford Algebras - Tập 12 - Trang 97-100 - 2002
Optimal Trajectory Tracking of Underwater Vehicle-Manipulator Systems Through the Clifford Algebras and of the Davies Method
Advances in Applied Clifford Algebras - - 2013
André Noronha de Oliveira, Edson De Pieri, Ubirajara F. Moreno
Correct Rules for Clifford Calculus on Superspace
Advances in Applied Clifford Algebras - - 2007
Hendrik De Bie, Franciscus Sommen
Correction to: Operators and Field Equations in the Electroweak Sector of Particle Physics
Advances in Applied Clifford Algebras - Tập 32 Số 5 - 2022
Gene E. McClellan
On the geometry of spin 1/2
Advances in Applied Clifford Algebras - Tập 11 - Trang 109-127 - 2001
M. Socolovsky
All the necessary elements for the description of the spin degree of freedom of a non relativistic spin 1/2 particle (e.g. the electron) are contained in the geometry of the complex Hopf bundleh:S 1→S 3→S 2. This bundle has also the necessary information for the geometrical construction of the symmetry group of the standard mo...... hiện toàn bộ
Bosonization of Fermionic Fields and Fermionization of Bosonic Fields
Advances in Applied Clifford Algebras - Tập 27 - Trang 1769-1778 - 2017
Waldyr A. Rodrigues
In this paper using the Clifford and spin-Clifford bundles formalism we show how Weyl and Dirac equations formulated in the spin-Clifford bundle may be written in an equivalent form as generalized Maxwell like form formulated in the Clifford bundle. Moreover, we show how Maxwell equation formulated in the Clifford bundle formalism can be written as an equivalent equation for a spinor field in the ...... hiện toàn bộ
From Clifford’s Theory of Consciousness to A New Quantum Model of the Mind
Advances in Applied Clifford Algebras - - 2009
Charlotte Riedberger
The Helmholtz Operator on Higher Dimensional Möbius Strips Embedded in $${\mathbb{R}^{4}}$$
Advances in Applied Clifford Algebras - Tập 22 - Trang 745-755 - 2012
Rolf Sören Krausshar
In this paper we present explicit formulas for the fundamental solution to the Helmholtz operator on a higher-dimensional analogue of the Möbius strip in three real variables (embedded in $${\mathbb{R}^{4}}$$ ) with values in distinct pinor bundles. Herefore we use an approach that uses classical harmonic...... hiện toàn bộ
Bilinear Forms and Fierz Identities for Real Spin Representations
Advances in Applied Clifford Algebras - Tập 22 - Trang 329-363 - 2011
Eric O. Korman, George Sparling
Given a real representation of the Clifford algebra corresponding to $${\mathbb{R}^{p+q}}$$ with metric of signature (p, q), we demonstrate the existence of two natural bilinear forms on the space of spinors. With the Clifford action of k-forms on spinors, the bilinear forms allow us to relate two spinor...... hiện toàn bộ
Tổng số: 1,004   
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